2. Linear Stress-Strain Relation

Try these first

1. 1.

   Define stress in your own words.

   Hint

   Think about what happens when forces are applied to objects.

2. 2.

   What is strain?

   Hint

   Consider how an object stretches or compresses.

3. 3.

   What does the stiffness tensor relate?

   • Stress to strain
   • Strain to mass
   • Strain to temperature

   Hint

   Think about how materials respond to applied forces.

4. 4.

   True or False: Major symmetry reduces independent components of the stiffness tensor to 36.

   • True
   • False

   Hint

   Consider the sequence of reductions discussed.

5. 5.

   For a material with a stiffness tensor exhibiting only minor symmetry, calculate the number of independent constants if given that it's a linear elastic material.

   Hint

   Revise the symmetries discussed for clarity.

6. 6.

   Explain how energy considerations lead to major symmetries in the stiffness tensor.

   Hint

   Consider the analogy with springs and energy storage.